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int0^x{int0^uf(t)dx}d ui se q u a lto ...

`int_0^x{int_0^uf(t)dx}d ui se q u a lto` `int_0^x(x-u)f(u)d u` `int_0^x uf(x-u)d u` `xint_0^xf(u)d u` (d) `xint_0^x uf(u-x)d u`

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The correct Answer is:
`=int _(0)^(x) (x-u)f(u) du`
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If int_(0)^(x){int_(0)^(u)f(t)dx}du is equal to (a)int_(0)^(x)(x-u)f(u)(b)int_(0)^(x)uf(x-u)du(c)x int_(0)^(x)f(u)du(d)x int_(0)^(x)uf(u-x)du

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The following integral int_(pi/4)^(pi/2)(2cos e cx)^(17)dx is equal to (a)int_0^("log"(1+sqrt(2)))2(e^u+e^(-u))^(16)d u (b)int_0^("log"(1+sqrt(2)))2(e^u+e^(-u))^(17)d u (c)int_0^("log"(1+sqrt(2)))2(e^u-e^(-u))^(17)d u (d)int_0^("log"(1+sqrt(2)))2(e^u-e^(-u))^(16)d u

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ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
  1. int0^x{int0^uf(t)dx}d ui se q u a lto int0^x(x-u)f(u)d u int0^x uf(...

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  2. The value of int(-pi//2)^(pi//2) (x^(2)cos x )/(1+e^(x)) dx is equal ...

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  3. The total number for distinct x epsilon[0,1] for which int(0)^(x)(t^(2...

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  4. Let f(x)=7 tan^(8) x +7 tan^(6) x-3 tan^(4) x-3 tan^(2)x for all x in...

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  5. Let f prime(x)=(192x^3)/(2+sin^4 pix) for all x in RR with f(1/2)=0. I...

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  6. The option(s) with the values of aa n dL that satisfy the following eq...

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  7. Let F:R- R be a thrice differentiable function. Suppose that F(1)=0,F(...

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  8. Let F : R to R be a thrice differentiable function . Suppose that F(...

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  9. Let f: RvecR be a function defined by f(x)={[x],xlt=2 0,x >2 where [...

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  10. If alpha=int0^1(e^9x+3tan^((-1)x))((12+9x^2)/(1+x^2))dxw h e r etan^(-...

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  11. The integral overset(pi//2)underset(pi//4)int (2 cosecx)^(17)dx is equ...

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  12. Let f:[0,2]vecR be a function which is continuous on [0,2] and is diff...

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  13. Match the conditions/ expressions in Column I with statement in Column...

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  14. Match List I with List II and select the correct answer using codes gi...

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  15. The value of int0^1 4x^3{(d^2)/(dx^2)(1-x^2)^5}dxi s

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  16. The value of the integral int(-pi//2)^(pi//2) (x^(2) + log" (pi-x)/(pi...

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  17. The value of int(sqrt(ln2))^(sqrt(ln3)) (xsinx^2)/(sinx^2+sin(ln6-x^2)...

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  18. Let f:[1,oo] be a differentiable function such that f(1)=2. If int1...

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  19. The value of int(0)^(1) (x^(4)(1-x)^(4))/(1+x^(2)) dx is (are)

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  20. For a in R ( the set of all real number) , a ne -1, lim(n to oo)((1^...

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  21. Consider the statements : P : There exists some x IR such that f(x)...

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